| Title:
|
Natural operators lifting vector fields to bundles of Weil contact elements (English) |
| Author:
|
Kureš, Miroslav |
| Author:
|
Mikulski, Włodzimierz M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
855-867 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed. (English) |
| Keyword:
|
Weil algebra |
| Keyword:
|
Weil bundle |
| Keyword:
|
contact element |
| Keyword:
|
natural operator |
| MSC:
|
12D05 |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1080.58005 |
| idMR:
|
MR2099999 |
| . |
| Date available:
|
2009-09-24T11:18:17Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127935 |
| . |
| Reference:
|
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| Reference:
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| . |
